HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Definition df-ima 3181
Description: Define the image of a class. Definition 6.6(2) of [TakeutiZaring] p. 24. For an alternate definition, see dfima2 3389.
Assertion
Ref Expression
df-ima |- (A"B) = ran ( A |` B)

Detailed syntax breakdown of Definition df-ima
StepHypRef Expression
1 cA . . 3 class A
2 cB . . 3 class B
31, 2cima 3163 . 2 class (A"B)
41, 2cres 3162 . . 3 class (A |` B)
54crn 3161 . 2 class ran ( A |` B)
63, 5wceq 953 1 wff (A"B) = ran ( A |` B)
Colors of variables: wff set class
This definition is referenced by:  resima 3375  imaeq1 3385  imaeq2 3386  dfima2 3389  rnresi 3402  resiima 3403  ima0 3404  imadisj 3406  imass1 3416  imass2 3417  ndmima 3418  imaun 3446  imaun2 3447  dfrn4 3478  imacnvcnv 3481  imadmres 3484  rnco2 3489  funcnvres 3554  funimacnv 3557  resfunexg 3565  fores 3666  f1orescnv 3689  fvres 3719  funfvima 3837  tz7.44-3 3915  tz7.48-2 3942  tz7.49c 3945  2ndconst 4081  curry1 4082  sbthlem4 4430  sbthlem6 4432  sbthlem8 4434  numthlem 4755  zorn2lem1 4760  imadomg 4778  subtop 7588  subgrnss 8056  ghsubgi 8075  efghgrpilem 8634  dfrelog 8678
Copyright terms: Public domain